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Generalized energy and potential enstrophy conserving finite difference schemes for the shallow water equations (1988)

Abramopoulos, Frank

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Publication Date: 2011-08-19

Description: The conditions under which finite difference schemes for the shallow water equations can conserve both total energy and potential enstrophy are considered. A method of deriving such schemes using operator formalism is developed. Several such schemes are derived for the A-, B- and C-grids. The derived schemes include second-order schemes and pseudo-fourth-order schemes. The simplest B-grid pseudo-fourth-order schemes are presented.

Keywords: FLUID MECHANICS AND HEAT TRANSFER

Type: Monthly Weather Review (ISSN 0027-0644); 116; 650-662

Format: text

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